Search a number
-
+
113312202120 = 233251324212009
BaseRepresentation
bin110100110000111101…
…1101111110110001000
3101211110220220021111200
41221201323233312020
53324030410431440
6124015505424200
711120660553255
oct1514173576610
9354426807450
10113312202120
1144067869637
1219b6403b060
13a8ba792210
1456ad05842c
152e32caac30
hex1a61eefd88

113312202120 has 96 divisors (see below), whose sum is σ = 396592723800. Its totient is φ = 27892233216.

The previous prime is 113312202089. The next prime is 113312202121. The reversal of 113312202120 is 21202213311.

113312202120 is a `hidden beast` number, since 11 + 331 + 2 + 202 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74067799716 + 39244402404 = 272154^2 + 198102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113312202093 and 113312202102.

It is not an unprimeable number, because it can be changed into a prime (113312202121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12101325 + ... + 12110684.

Almost surely, 2113312202120 is an apocalyptic number.

113312202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113312202120 is an abundant number, since it is smaller than the sum of its proper divisors (283280521680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113312202120 is a wasteful number, since it uses less digits than its factorization.

113312202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24212039 (or 24212032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113312202120 its reverse (21202213311), we get a palindrome (134514415431).

The spelling of 113312202120 in words is "one hundred thirteen billion, three hundred twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 24212009 48424018 72636027 96848036 121060045 145272054 193696072 217908081 242120090 290544108 314756117 363180135 435816162 484240180 581088216 629512234 726360270 871632324 944268351 968480360 1089540405 1259024468 1452720540 1573780585 1743264648 1888536702 2179080810 2518048936 2832805053 2905441080 3147561170 3777073404 4358161620 4721341755 5665610106 6295122340 7554146808 8716323240 9442683510 11331220212 12590244680 14164025265 18885367020 22662440424 28328050530 37770734040 56656101060 113312202120